← Back to Topic 11

The Converse: Is It a Right Triangle?: Classroom Packet

Grade 8 Algebra: The Converse: Is It a Right Triangle?

Name: ______________________Date: ____________Score: ____ / 8

Level 1

Small whole-number sides

  1. 1. Is this a right triangle:
    3, 4, 53, \ 4, \ 5
    334455
  2. 2. Is this a right triangle:
    6, 8, 106, \ 8, \ 10
    66881010
  3. 3. Is this a right triangle:
    4, 5, 64, \ 5, \ 6
    445566
  4. 4. Is this a right triangle:
    5, 12, 135, \ 12, \ 13
    5512121313
  5. 5. Is this a right triangle:
    7, 8, 97, \ 8, \ 9
    778899
  6. 6. Is this a right triangle:
    8, 15, 178, \ 15, \ 17
    8815151717
  7. 7. Is this a right triangle:
    2, 3, 42, \ 3, \ 4
    223344
  8. 8. Is this a right triangle:
    9, 40, 419, \ 40, \ 41
    9940404141

Answer Key

Level 1

  1. 1. Yes: 9+16=25\text{Yes: } 9+16=25
  2. 2. Yes: 36+64=100\text{Yes: } 36+64=100
  3. 3. No: 16+25=41≠36\text{No: } 16+25=41 \ne 36
  4. 4. Yes: 25+144=169\text{Yes: } 25+144=169
  5. 5. No: 49+64=113≠81\text{No: } 49+64=113 \ne 81
  6. 6. Yes: 64+225=289\text{Yes: } 64+225=289
  7. 7. No: 4+9=13≠16\text{No: } 4+9=13 \ne 16
  8. 8. Yes: 81+1600=1681\text{Yes: } 81+1600=1681

Grade 8 Algebra: The Converse: Is It a Right Triangle?

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Larger whole-number sides

  1. 1. Is this a right triangle:
    10, 24, 2610, \ 24, \ 26
    101024242626
  2. 2. Is this a right triangle:
    6, 7, 96, \ 7, \ 9
    667799
  3. 3. Is this a right triangle:
    12, 35, 3712, \ 35, \ 37
    121235353737
  4. 4. Is this a right triangle:
    11, 60, 6111, \ 60, \ 61
    111160606161
  5. 5. Is this a right triangle:
    7, 10, 127, \ 10, \ 12
    7710101212
  6. 6. Is this a right triangle:
    20, 21, 2920, \ 21, \ 29
    202021212929
  7. 7. Is this a right triangle:
    13, 14, 1513, \ 14, \ 15
    131314141515
  8. 8. Is this a right triangle:
    16, 30, 3416, \ 30, \ 34
    161630303434

Answer Key

Level 2

  1. 1. Yes: 100+576=676\text{Yes: } 100+576=676
  2. 2. No: 36+49=85≠81\text{No: } 36+49=85 \ne 81
  3. 3. Yes: 144+1225=1369\text{Yes: } 144+1225=1369
  4. 4. Yes: 121+3600=3721\text{Yes: } 121+3600=3721
  5. 5. No: 49+100=149≠144\text{No: } 49+100=149 \ne 144
  6. 6. Yes: 400+441=841\text{Yes: } 400+441=841
  7. 7. No: 169+196=365≠225\text{No: } 169+196=365 \ne 225
  8. 8. Yes: 256+900=1156\text{Yes: } 256+900=1156

Grade 8 Algebra: The Converse: Is It a Right Triangle?

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Decimals and square roots

  1. 1. Is this a right triangle:
    1.5, 2, 2.51.5, \ 2, \ 2.5
    1.51.5222.52.5
  2. 2. Is this a right triangle:
    2, 3, 5\sqrt{2}, \ \sqrt{3}, \ \sqrt{5}
    2\sqrt{2}3\sqrt{3}5\sqrt{5}
  3. 3. Is this a right triangle:
    0.9, 1.2, 1.60.9, \ 1.2, \ 1.6
    0.90.91.21.21.61.6
  4. 4. Is this a right triangle:
    1, 3, 21, \ \sqrt{3}, \ 2
    113\sqrt{3}22
  5. 5. Is this a right triangle:
    11, 5, 6\sqrt{11}, \ 5, \ 6
    11\sqrt{11}5566
  6. 6. Is this a right triangle:
    2, 5, 32, \ \sqrt{5}, \ 3
    225\sqrt{5}33
  7. 7. Is this a right triangle:
    0.5, 1.2, 1.40.5, \ 1.2, \ 1.4
    0.50.51.21.21.41.4
  8. 8. Is this a right triangle:
    3, 3, 183, \ 3, \ \sqrt{18}
    333318\sqrt{18}

Answer Key

Level 3

  1. 1. Yes: 2.25+4=6.25\text{Yes: } 2.25+4=6.25
  2. 2. No: 2+3=13≠5\text{No: } 2+3=13 \ne 5
  3. 3. No: 0.81+1.44=2.25≠2.56\text{No: } 0.81+1.44=2.25 \ne 2.56
  4. 4. No: 1+3=10≠4\text{No: } 1+3=10 \ne 4
  5. 5. No: 11+25=146≠36\text{No: } 11+25=146 \ne 36
  6. 6. No: 4+5=29≠9\text{No: } 4+5=29 \ne 9
  7. 7. No: 0.25+1.44=1.69≠1.96\text{No: } 0.25+1.44=1.69 \ne 1.96
  8. 8. No: 9+9=18≠18\text{No: } 9+9=18 \ne 18